10605213 has 24 divisors (see below), whose sum is σ = 16005600. Its totient is φ = 6758304.

The previous prime is 10605209. The next prime is 10605227. The reversal of 10605213 is 31250601.

10605213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10605213 - 2² = 10605209 is a prime.

It is a super-2 number, since 2×10605213² = 224941085550738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46606 + ... + 46832.

It is an arithmetic number, because the mean of its divisors is an integer number (666900).

Almost surely, 2^10605213 is an apocalyptic number.

It is an amenable number.

10605213 is a deficient number, since it is larger than the sum of its proper divisors (5400387).

10605213 is a wasteful number, since it uses less digits than its factorization.

10605213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10605213 is about 3256.5646009253. The cubic root of 10605213 is about 219.7049281074.

Adding to 10605213 its reverse (31250601), we get a palindrome (41855814).

The spelling of 10605213 in words is "ten million, six hundred five thousand, two hundred thirteen".